A111191 Numbers n such that ceiling(Pi^n - e^n) is prime.

2, 3, 4, 17, 19, 44, 97, 105, 116, 207, 432, 872, 1203, 2139, 3212

Offset

1,1

Comments

No more terms through 10000.

Links

Table of n, a(n) for n=1..15.

Example

ceiling(Pi^17 - e^17) = 258689611 is prime, hence 17 is a term.

Mathematica

$MaxExtraPrecision = 10^6; Do[k = Ceiling[Pi^n - E^n]; If[PrimeQ[k], Print[n]], {n, 1, 10000}]

Crossrefs

Sequence in context: A353164 A333835 A178683 * A333825 A115891 A359230

Adjacent sequences: A111188 A111189 A111190 * A111192 A111193 A111194

Keyword

nonn,hard,more

Author

Ryan Propper, Oct 23 2005

Status

approved